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At the request, and in the idea that it will be useful to many, I made this film with the connection of the three-phase to single-phase motor, and the capacitor used, but also the way in which the meaning is changed. It's a small motor, around 0.5kW, which I was able to fight with more easily, which can start randomly and without a capacitor, but only at idle. For starting the load (I forgot to say), a much larger capacitor is connected (5-10 times larger, depending on the motor power), to start, after which the large one is disconnected, leaving only the thing. It will be able to run without a capacitor after starting, but when the speed drops below a certain threshold, due to the variable load, it will stop. The capacitor lowers that threshold, depending on its capacity, even to zero, the case of starting at low load. The right capacity of the capacitor is chosen as I explained in the film, but also after calculations (more difficult to access), the practice being sacred, because it depends on the requirements of each one (with the risks of rigor, regarding safety in operation).